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Finding the Fourth Proportional to 345,881.16, 519,145.20 and 213,020.64

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Solution

The fourth proportional to 345,881.16, 519,145.20 and 213,020.64 is: 319,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,881.16 : 519,145.20 = 213,020.64 : x
  2. Step 2: Convert to fraction form
    345,881.16/519,145.20 = 213,020.64/x
  3. Step 3: Cross multiply
    345,881.16x = 519,145.20 × 213,020.64
  4. Step 4: Simplify right side
    345,881.16x = 110,588,642,756.93
  5. Step 5: Solve for x
    x = 110,588,642,756.93/345,881.16
  6. Step 6: Final answer
    x = 319,730.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.